Search a number
-
+
540311031 = 32135039181
BaseRepresentation
bin100000001101000…
…111110111110111
31101122200122101200
4200031013313313
52101304423111
6125340423543
716250365551
oct4015076767
91348618350
10540311031
11257a9a747
12130b47bb3
1387c2a390
1451a8a4d1
153267c256
hex20347df7

540311031 has 24 divisors (see below), whose sum is σ = 842246496. Its totient is φ = 331801920.

The previous prime is 540311011. The next prime is 540311053. The reversal of 540311031 is 130113045.

It is not a de Polignac number, because 540311031 - 226 = 473202167 is a prime.

It is a super-2 number, since 2×5403110312 = 583872020440565922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540310995 and 540311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540311011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54261 + ... + 63441.

It is an arithmetic number, because the mean of its divisors is an integer number (35093604).

Almost surely, 2540311031 is an apocalyptic number.

540311031 is a deficient number, since it is larger than the sum of its proper divisors (301935465).

540311031 is a wasteful number, since it uses less digits than its factorization.

540311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 540311031 is about 23244.5914354286. The cubic root of 540311031 is about 814.4816009012.

Adding to 540311031 its reverse (130113045), we get a palindrome (670424076).

The spelling of 540311031 in words is "five hundred forty million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 9 13 39 117 503 1509 4527 6539 9181 19617 27543 58851 82629 119353 358059 1074177 4618043 13854129 41562387 60034559 180103677 540311031